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Finding the Fourth Proportional to 72,716.94, 109,063.26 and 20,131.74

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Solution

The fourth proportional to 72,716.94, 109,063.26 and 20,131.74 is: 30,194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,716.94 : 109,063.26 = 20,131.74 : x
  2. Step 2: Convert to fraction form
    72,716.94/109,063.26 = 20,131.74/x
  3. Step 3: Cross multiply
    72,716.94x = 109,063.26 × 20,131.74
  4. Step 4: Simplify right side
    72,716.94x = 2,195,633,193.87
  5. Step 5: Solve for x
    x = 2,195,633,193.87/72,716.94
  6. Step 6: Final answer
    x = 30,194.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.